3472042475520 has 840 divisors, whose sum is σ = 12769384832064. Its totient is φ = 905445900288.

The previous prime is 3472042475471. The next prime is 3472042475609. The reversal of 3472042475520 is 255742402743.

3472042475520 is a `hidden beast` number, since 3 + 4 + 72 + 0 + 4 + 24 + 7 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2806824342 + ... + 2806825578.

Almost surely, 2^{3472042475520} is an apocalyptic number.

3472042475520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3472042475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384692416032).

3472042475520 is an abundant number, since it is smaller than the sum of its proper divisors (9297342356544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3472042475520 is an frugal number, since it uses more digits than its factorization.

3472042475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 45.

The spelling of 3472042475520 in words is "three trillion, four hundred seventy-two billion, forty-two million, four hundred seventy-five thousand, five hundred twenty".